The noun intricacy means a quality of being complex or elaborately detailed. You could compliment the intricacy of your friend's complicated hairdo.
A delicate piece of jewelry, twisted with decorative strands of silver, can be admired for its intricacy, and an overly complex piece of legislation might be criticized for its intricacy. You could also talk about the intricacy of the universe, or the intricacy of the human body. Intricacy comes from the Latin root word intricatus, which means "entangled."
